Homological Mirror Symmetry: Recent Developments and Future Directions
Explore recent advancements in Homological Mirror Symmetry, surveying new results and opening avenues for future development and collaboration in this transformative field of mathematics.
What is Symplectic Geometry?
Explore symplectic geometry fundamentals in this engaging lecture, covering key concepts, applications, and recent developments in this fascinating mathematical field.
Functorial Construction of Lagrangian Floer Theory and Its Possible Applications
Explore functorial construction of Lagrangian Floer theory and its potential applications in symplectic geometry with renowned mathematician Kenji Fukaya from Stony Brook University.
On Symplectic Transformations of OG10-Type Hyperkähler Manifolds via Cubic Fourfolds
Explore symplectic birational transformations on OG10-type hyperkähler manifolds, focusing on LSV manifolds derived from cubic fourfolds and their cohomological actions.
Independence of Polarization for Lagrangian Fibrations and Integral-Affine Geometry
Explore Lagrangian fibrations, polarization independence, and integral-affine geometry in this advanced mathematics lecture by Mark Hamilton from Mount Allison University.
On the Mukai Conjecture and the Kostant Game
Explore the Mukai conjecture and Kostant game in algebraic geometry, delving into their connections and implications for Hamiltonian geometry.
Multiple Horn Problem in Hamiltonian Geometry
Explore the intricacies of the Multiple Horn problem in this mathematical lecture by Anton Alekseev, delving into advanced concepts in Hamiltonian geometry.
Finding Symplectic Balls in Disguise with Integrable Systems
Explore integrable systems to uncover hidden symplectic balls, delving into Hamiltonian geometry and its applications in mathematical physics.
Symplectic Geometry and Quantization - Blitz Session
Explore advanced topics in symplectic geometry and quantization through four concise talks on stratified quantization, complex Lagrangian Grassmannians, integral Chang-Skjelbred computations, and symplectic circle actions.
Extension of 4-Dimensional Hamiltonian S1-Spaces Classification to Almost Complex Manifolds
Explore the classification of 4D Hamiltonian S1-spaces extended to almost complex manifolds, delving into advanced geometric concepts and their applications in mathematical physics.
The Equivariant Cohomology of Hamiltonian T-Spaces of Complexity One
Explore equivariant cohomology in Hamiltonian T-spaces, focusing on complexity one systems and their geometric properties in this advanced mathematical lecture.
Symplectic Embeddings and Infinite Staircases in Toric 4-Manifolds
Explore symplectic embeddings and infinite staircases in toric 4-manifolds, delving into advanced mathematical concepts with expert insights from Cornell University.
From Symplectic Deformation to Isotopy - Equivariant Perspective
Explore symplectic deformation and equivariant isotopy in this advanced mathematics lecture, delving into complex geometric concepts and their applications.
On a Symplectic Generalization of a Hirzebruch Problem
Explore a symplectic extension of Hirzebruch's problem, delving into advanced mathematical concepts and their implications in Hamiltonian geometry.
Scheme-Theoretic Coisotropic Reduction
Explore advanced concepts in algebraic geometry, focusing on scheme-theoretic approaches to coisotropic reduction in symplectic manifolds and their applications in toric topology.
Classification of Locally Standard Torus Actions
Explore the classification of locally standard torus actions in this advanced mathematical talk, delving into complex topological concepts and their applications.
Extending Complexity One Hamiltonian Actions
Explore Hamiltonian actions in toric topology with Susan Tolman, focusing on extending complexity one actions and their implications in algebraic geometry and symplectic geometry.
Cluster Algebras and Monotone Lagrangian Tori
Explore the connection between cluster algebras and monotone Lagrangian tori in this advanced mathematics talk, delving into complex geometric structures and algebraic relationships.
Cohomology and Geometric Quantization of Toric Manifolds
Explore cohomology and geometric quantization in toric manifolds with expert Lisa Jeffrey, delving into advanced mathematical concepts and their applications in toric topology.
Symplectic Quotient Construction of Toric Manifolds
Explore symplectic quotient construction in toric manifolds with Lisa Jeffrey, delving into advanced mathematical concepts and their applications in toric topology.
Some Reflections on the Moduli Spaces of Flat Connections with Involutions
Explore moduli spaces of flat connections with involutions, examining their geometric properties and mathematical implications in this advanced mathematical lecture.